But, in a bizarre reversal, Hayne did the same two metres from his own line for Matai to pick up the scraps and score, the conversion making it 14-12.
When Hicks fumbled a cruel bounce in the 50th minute from a long Kieran Foran Kick, Matai was there again to turn the match as Manly took an 18-14 lead.
The Eels managed a late Justin Horo try to give them some hope of a golden point game and a Hayne bomb was only just defused by the Sea eagles in the final seconds.
In a blow to a Manly side getting used to the absence of co-captain Jason King with the season-ending pectoral tear suffered last weekend, NSW State of Origin representative William Hopoate failed to finish the game with a knee injury.
The Sea Eagles, who have tough games against Melbourne and Brisbane still to come, firmed up second spot with the win, while the Eels remain in the battle for the wooden spoon after a fifth straight loss.
As well as Matai, Daly Cherry-Evans and Brett Stewart scored tries for Manly with Jamie Lyon booting five from five in coach Des Hasler's 200th game at the helm.
For the hapless Eels, Hicks, Ryan Morgan and Horo bagged four-pointers, while Luke Burt kicked four from five.
Parramatta led 10-0 after 18 minutes through two Burt penalty goals and Hicks' try before Cherry-Evans started and finished a 23rd minute Manly try.
Quick hands put Morgan over in the 32nd minute to make it 14-6 in favour of the home side.
MANLY 26 (S Matai 2 D Cherry-Evans B Stewart tries J Lyon 5 goals) bt PARRAMATTA 20 (C Hicks J Horo R Morgan tries L Burt 4 goals) at Parramatta Stadium. Referee: Tony Archer, Chris James. Crowd: 11,102.
- AAP
